Showing papers by "Shandong Normal University published in 1986"
TL;DR: In this paper, a convexe borne clos K⊂X and K→2 X \O satisfaisant: F est semi-continue superieurement, F(x) est convexe clos (∀x∈K), F est α-condensante et F (x)∩Ī K (x)-¬=O (∆x∆K); F a-t-elle un point fixe.
Abstract: On considere le probleme suivant: etant donnes un espace de Banach reel X, un convexe borne clos K⊂X et F:K→2 X \O satisfaisant: F est semi-continue superieurement, F(x) est convexe clos (∀x∈K), F est α-condensante et F(x)∩Ī K (x)¬=O (∀x∈K); F a-t-elle un point fixe
9 citations
TL;DR: In this paper, an existence theorem for periodic boundary value problems is established without monotonic assumptions on f. This is achieved by considering a Nagumo -like condition on the second variable of f and upper-lower likely solutions for the problem.
Abstract: Periodic boundary value problems (PBVP) are studied for the integro-differential equatior x′ = f(t,x(t),Tx),x(O)=x(1), where Tx is the integral term. An existence theorem for such a problem is established without monotonic assumptions on f. This is achieved by considering a Nagumo -like condition on the second variable of f and upper-lower-likely solutions for the problem.
3 citations